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Questions and Answers
Which of the following determinants is equal to 4 times the determinant of A?
Which of the following determinants is equal to 4 times the determinant of A?
- $\begin{vmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{vmatrix}$
- $\begin{vmatrix} 3 & -1 & -2 \\ 0 & 0 & -1 \\ 3 & -5 & 0 \end{vmatrix}$
- $\begin{vmatrix} 2 & 4 \\ -5 & -1 \end{vmatrix}$ (correct)
- $\begin{vmatrix} x^2 - x + 1 & x - 1 \\ x + 1 & x + 1 \end{vmatrix}$
If A = $\begin{bmatrix} 1 & 2 \ 4 & 2 \end{bmatrix}$, what is the value of $|2A|$?
If A = $\begin{bmatrix} 1 & 2 \ 4 & 2 \end{bmatrix}$, what is the value of $|2A|$?
- 64
- 16 (correct)
- 32
- 8
If A = $\begin{bmatrix} 1 & 0 & 1 \ 0 & 1 & 2 \ 0 & 0 & 4 \end{bmatrix}$, what is the value of $|3A|$?
If A = $\begin{bmatrix} 1 & 0 & 1 \ 0 & 1 & 2 \ 0 & 0 & 4 \end{bmatrix}$, what is the value of $|3A|$?
- 36
- 81 (correct)
- 12
- 27
If A = $\begin{bmatrix} 1 & 1 & -2 \ 2 & 1 & -3 \ 5 & 4 & -9 \end{bmatrix}$, what is the value of $\alpha |A|$?
If A = $\begin{bmatrix} 1 & 1 & -2 \ 2 & 1 & -3 \ 5 & 4 & -9 \end{bmatrix}$, what is the value of $\alpha |A|$?
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If $\begin{vmatrix} 2x & 4 \ 6 & x \end{vmatrix} = \begin{vmatrix} x & 3 \ 2x & 5 \end{vmatrix}$, what are the possible values of x?
If $\begin{vmatrix} 2x & 4 \ 6 & x \end{vmatrix} = \begin{vmatrix} x & 3 \ 2x & 5 \end{vmatrix}$, what are the possible values of x?
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